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Skew coordinates aren't orthogonal. Skew coordinates: https://en.wikipedia.org/wiki/Skew_coordinates https://en.wikipedia.org/wiki/Skew_coordinates Are the fe
by westurner 2y ago
Skew coordinates aren't orthogonal.
Skew coordinates: https://en.wikipedia.org/wiki/Skew_coordinates https://en.wikipedia.org/wiki/Skew_coordinates
Are the feature described with high-dimensional spaces really all 90° geometrically orthogonal?
How does the distance metric vary with feature order?
Do algorithmic outputs diverge or converge given variance in sequence order of all orthogonal axes?
Does it matter which order the dimensions are stated in; is the output sensitive to feature order, but does it converge regardless?
Re: superposition in this context, too
Are there multiple particles in the same space, or is it measuring a point-in-time sampling of the possible states of one particle?
(Can photons actually occupy the same point in spacetime? Can electrons? But the plenoptic function describes all light passing through a point or all of the space)
Expectation values are or are not good estimators of wave function outputs from discrete quantum circuits and real quantum systems.
To describe the products of the histogram PDFs
- westurner 2y ago> Are the [features] described with high-dimensional spaces really all 90° geometrically orthogonal? If the features are not statistically independent, I don't think it's likely that they're truly orthogonal; which might not affect the utility of a distance metric that assumes that they are all orthogonal.